Darbo type best proximity point (pair) results using measure of noncompactness with application

IF 0.9 4区数学 Q2 MATHEMATICS

Fixed Point Theory Pub Date : 2022-01-02 DOI:10.24193/fpt-ro.2022.1.16

M. Gabeleh, D. Patel, P. Patle

引用次数: 4

Abstract

. Primarily this work intends to investigate the existence of best proximity points (pairs) for new classes of cyclic (noncyclic) mappings via simulation functions and measure of noncompact-ness. Use of diﬀerent classes of additional functions make it possible to generalize the contractive inequalities in this work. As an application of the main conclusions, a survey for the existence of optimal solutions of a system of integro-diﬀerential equations under some new conditions is presented. As an application of our existence results, we establish the existence of a solution for the following system of integro-diﬀerential equations

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Darbo型最佳邻近点（对）的非紧性测度结果及其应用

这项工作主要旨在通过模拟函数和非紧性度量来研究新类别的循环（非循环）映射的最佳邻近点（对）的存在性。使用不同类别的附加函数可以推广这项工作中的压缩不等式。作为主要结论的一个应用，考察了一类积分微分方程组在某些新条件下最优解的存在性。作为我们存在性结果的一个应用，我们建立了以下积分微分方程组解的存在性

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Fixed Point Theory 数学-数学

CiteScore

2.30

自引率

9.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Fixed Point Theory publishes relevant research and expository papers devoted to the all topics of fixed point theory and applications in all structured set (algebraic, metric, topological (general and algebraic), geometric (synthetic, analytic, metric, differential, topological), ...) and in category theory. Applications to ordinary differential equations, partial differential equations, functional equations, integral equations, mathematical physics, mathematical chemistry, mathematical biology, mathematical economics, mathematical finances, informatics, ..., are also welcome.